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(A) The average velocity $(v_{avg})$ of a body is defined as the arithmetic mean of its initial velocity $(u)$ and final velocity $(v)$ only when the

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uniform

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(A) The average velocity $(v_{avg})$ of a body is defined as the arithmetic mean of its initial velocity $(u)$ and final velocity $(v)$ only when the acceleration $(a)$ is constant or uniform.Mathematically,$v_{avg} = \frac{u + v}{2}$.This formula is derived from the equations of motion under constant acceleration,specifically $v = u + at$.Substituting $v$ in the average velocity formula: $v_{avg} = \frac{u + (u + at)}{2} = \frac{2u + at}{2} = u + \frac{1}{2}at$.Since this relationship holds true for motion with constant acceleration,the acceleration of the body must be uniform.

If the average velocity of a body is equal to the mean of its initial velocity and final velocity,then the acceleration of the body is

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